Document Type

Article

Publication Date

11-15-2009

Publication Title

Journal of Algebra

DOI

10.1016/j.jalgebra.2009.08.006

ISSN

0021-8693

Abstract

A question of Avramov and Foxby concerning injective dimension of complexes is settled in the affirmative for the class of noetherian rings. A key step in the proof is to recast the problem on hand into one about the homotopy category of complexes of injective modules. Analogous results for flat dimension and projective dimension are also established.

Comments

This version of the paper was obtained from arXIV.org. In order for the work to be deposited in arXIV.org, the author must have permission to distribute the work or the work must be available under the Creative Commons Attribution license, Creative Commons Attribution-Noncommercial-ShareAlike license, or Create Commons Public Domain Declaration. The publisher's final edited version of this article is available at Journal of Algebra.

Included in

Mathematics Commons

Share

COinS